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Finding the Third Proportional to 6,350,340 and 9,539,816

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Solution

The third proportional to 6,350,340 and 9,539,816 is: 14,331,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350,340 : 9,539,816 = 9,539,816 : x
  2. Step 2: Convert to fraction form
    6,350,340/9,539,816 = 9,539,816/x
  3. Step 3: Cross multiply
    6,350,340x = 9,539,816 × 9,539,816
  4. Step 4: Simplify right side
    6,350,340x = 91,008,089,313,856
  5. Step 5: Solve for x
    x = 91,008,089,313,856/6,350,340
  6. Step 6: Final answer
    x = 14,331,215.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.